中文摘要：

研究了一类带有C-M反应函数的具有一个食饵和两个捕食者的捕食-食饵模型正解的存在性和唯一性.利用不动点指数理论讨论了正解的存在性,给出正解存在的充分条件：r＞λ1,-m1＞λ1（e1（～w）-p1（～u）/1＋b1（～u））,-m2＞λ1（e2-v-p2-u/1＋b2-u）.运用稳定性理论和度理论研究了正解的稳定性和唯一性.

英文摘要：

Existence and uniqueness of positive solution for a one-prey and two-competing-preda tors system with C-M type functional response are considered.The existence of positive solution is discussed by means of the fixed point index theory and sufficient conditions：r〉λ1,-m1 〉 λ1（e1（～w）-p1（～u）/1＋b1（～u））,-m2〉λ1（e2-v-p2-u/1＋b2-u）for the existence of coexistence states are determined.In addition,the stability and uniqueness of positive solution are investigated by using the stability theorem and degree theory.